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12960782360 = 23519156710883
BaseRepresentation
bin11000001001000010…
…11101100000011000
31020110020222221222022
430010201131200120
5203020430013420
65542030314012
7636115555331
oct140441354030
936406887868
1012960782360
115551029689
122618658908
1312b72202b6
148ad47b288
1550cca6c25
hex30485d818

12960782360 has 64 divisors (see below), whose sum is σ = 30719001600. Its totient is φ = 4907869056.

The previous prime is 12960782347. The next prime is 12960782377. The reversal of 12960782360 is 6328706921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185479 + ... + 1196361.

It is an arithmetic number, because the mean of its divisors is an integer number (479984400).

Almost surely, 212960782360 is an apocalyptic number.

12960782360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12960782360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359500800).

12960782360 is an abundant number, since it is smaller than the sum of its proper divisors (17758219240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12960782360 is a wasteful number, since it uses less digits than its factorization.

12960782360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480 (or 12476 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 12960782360 in words is "twelve billion, nine hundred sixty million, seven hundred eighty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1567 3134 6268 7835 10883 12536 15670 21766 29773 31340 43532 54415 59546 62680 87064 108830 119092 148865 206777 217660 238184 297730 413554 435320 595460 827108 1033885 1190920 1654216 2067770 4135540 8271080 17053661 34107322 68214644 85268305 136429288 170536610 324019559 341073220 648039118 682146440 1296078236 1620097795 2592156472 3240195590 6480391180 12960782360